Answered: (a) State a necessary condition for a… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Question

(a) State a necessary condition for a vector field to be a gradient.
(b) Determine if the vector field
F(x, y) = (²2
x - 3
y-2
x² + y² - 6x - 4y + 13' x² + y² - 4y - 6x +13,
is a gradient in its domain.

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